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to make brine jose buys 1 kg of salt and pays 12 pesos if he buys 4 kg they charge him 48 pesos but for 100 pesos they sel

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To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

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Answer to a math question To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

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Para encontrar la constante de proporcionalidad, podemos usar la relación entre la cantidad de sal comprada y el costo. La constante de proporcionalidad (k) está dada por la relación entre el costo (y) y la cantidad de sal (x), es decir, k = y/x. Dado: 1 kg de sal cuesta 12 pesos. 4 kg de sal cuestan 48 pesos. 9 kg de sal cuestan 100 pesos. Podemos usar la información proporcionada para encontrar la constante de proporcionalidad (k) estableciendo la ecuación de proporcionalidad: Por 1 kg: 12 = 1k Para 4 kg: 48 = 4k Para 9 kg: 100 = 9k Resolviendo para k en cada caso: Por 1 kg: k = 12/1 = 12 Para 4 kg: k = 48/4 = 12 Para 9 kg: k = 100/9 ≈ 11,11 La constante de proporcionalidad es de aproximadamente 12 pesos por kilogramo de sal.

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